Question

In a​ triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 76° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.

Answer 1

First angle: 52°

Second angle: 26°

Third angle: 102°

Explanation:

Let the measure of the second angle = x.

Measure of the first angle: 2x

Measure of third angle: x + 76

2x + x + x + 76 = 180

4x + 76 = 180

4x = 104

x = 26 second angle

2x = 2 × 26 = 52 first angle

x + 76 = 26 + 76 = 102 third angle